Question

If PQRS is a parallelogram, p=105, then the measure of Q is​

Answer 1

Answer:

angle P + angle Q = 180degree

angle P + 75 degree = 180 degree

angle P = 180 - 75 degree

angle P = 105 degrew

Step-by-step explanation:

In a parallelogram opposite angles are equal

so in PQRS parallelogram

angle Q = angle S = 75°

let other two angles be angle P = angle R = x

now we know that

sum of angles in a quadrilateral = 360°

angles (P+Q+R+S) = 360

x+75+x+75 = 360

2x + 150 =360

2x = 210

x = 105°

so angles are 105° , 75°, 105°, 75°.

Hope it helps....☺️

Answer 2

Answer:

Angle Q =75°

Step-by-step explanation:

Angle p + Angle Q = 180°

(putting the value of p,let angle Q=x)

105°+ x = 180°

x = 180° - 105°

x = 75° (Answer)